The value of for the gas is — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

The isobaric heat capacity $C_p = Q / (n\Delta T) = 1600\text{ J} / (1\text{ mol} \times 72\text{ K}) = 22.22\text{ J/K-mol}$. The isochoric heat capacity $C_v = C_p - R = 22.22 - 8.314 = 13.91\text{ J/K-mol}$. The adiabatic exponent $\gamma = C_p / C_v = 22.22 / 13.91 \approx 1.6$.